Editing Chern class (section)

=== Applications of formulae ===
We can use these abstract properties to compute the rest of the chern classes of line bundles on <math>\mathbb{CP}^1</math>. Recall that <math>\mathcal{O}(-1)^* \cong \mathcal{O}(1)</math> showing <math>c_1(\mathcal{O}(1)) = 1 \in H^2(\mathbb{CP}^1;\mathbb{Z})</math>. Then using tensor powers, we can relate them to the chern classes of <math>c_1(\mathcal{O}(n)) = n</math> for any integer.